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Finding the Fourth Proportional to 278,642.57, 384,644.43 and 188,121.11

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Solution

The fourth proportional to 278,642.57, 384,644.43 and 188,121.11 is: 259,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,642.57 : 384,644.43 = 188,121.11 : x
  2. Step 2: Convert to fraction form
    278,642.57/384,644.43 = 188,121.11/x
  3. Step 3: Cross multiply
    278,642.57x = 384,644.43 × 188,121.11
  4. Step 4: Simplify right side
    278,642.57x = 72,359,735,203.70
  5. Step 5: Solve for x
    x = 72,359,735,203.70/278,642.57
  6. Step 6: Final answer
    x = 259,686.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.